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tresset_1 [31]
3 years ago
7

How many solutions will there be to the following equation?16x^2=100

Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0

Answer:

2 solutions; x=2.5     x=-25

Step-by-step explanation:

16x^2 = 100

x^2 = 100/16

x^2 = 6.25

x = (+-) sqrt 6.25

x = (+-) 2.5

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Suppose that 40 percent of the drivers stopped at State Police checkpoints in Storrs on Spring Weekend show evidence of driving
lesantik [10]

Answer:

a) 0.778

b) 0.9222

c) 0.6826

d) 0.3174

e) 2 drivers

Step-by-step explanation:

Given:

Sample size, n = 5

P = 40% = 0.4

a) Probability that none of the drivers shows evidence of intoxication.

P(x=0) = ^nC_x P^x (1-P)^n^-^x

P(x=0) = ^5C_0  (0.4)^0 (1-0.4)^5^-^0

P(x=0) = ^5C_0 (0.4)^0 (0.60)^5

P(x=0) = 0.778

b) Probability that at least one of the drivers shows evidence of intoxication would be:

P(X ≥ 1) = 1 - P(X < 1)

= 1 - P(X = 0)

= 1 - ^5C_0 (0.4)^0 * (0.6)^5

= 1 - 0.0778

= 0.9222

c) The probability that at most two of the drivers show evidence of intoxication.

P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)

^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2  (0.4)^2  (0.6)^3

= 0.6826

d) Probability that more than two of the drivers show evidence of intoxication.

P(x>2) = 1 - P(X ≤ 2)

= 1 - [^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2 * (0.4)^2  (0.6)^3]

= 1 - 0.6826

= 0.3174

e) Expected number of intoxicated drivers.

To find this, use:

Sample size multiplied by sample proportion

n * p

= 5 * 0.40

= 2

Expected number of intoxicated drivers would be 2

7 0
3 years ago
members of a soccer team raised $741.15 to go to a tournament. They rented a bus for $250 and budgeted $25.85 per player for mea
blsea [12.9K]

9514 1404 393

Answer:

  19 players

Step-by-step explanation:

The total being spent is ...

  bus cost + (per player cost) × (number of players) = total raised

  250 + 25.85p = 741.15

  25.85p = 491.15

  p = 491.15/25.85 = 19

The team could bring 19 players to the tournament.

6 0
2 years ago
If a rectangle has a length of 8 centimeters and a width of 5 centimeters, then what is the area of the rectangle in square cent
mel-nik [20]

Answer:

40 centimeters square.

Step-by-step explanation:

Area= length × width

8×5=40

Have a nice day

6 0
3 years ago
Dawn simplified a power correctly and came up with a value of 64.
abruzzese [7]

Answer:

Hello fellow brainlian, I am pretty sure the answer is A)

Step-by-step explanation:

Have a Totally Horse-some Day!

                 With love,

                       -The one and only Alaska

4 0
3 years ago
Read 2 more answers
For this spinner, what are the following probabilities? Answer in simplest fraction form using the form: x/y
luda_lava [24]
<h2>P(4) = 1/8</h2><h2>P(5) = 2/8 = 1/4</h2><h2>P(6) = 3/8</h2><h2>P(7) = 2/8 = 1/4</h2><h2>P(even number) = 4/8 = 1/2 </h2>
7 0
2 years ago
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